1
AB=a,AF=2a,BF=3a,CF=a
CB=√(BF²+CF²)=√(9a²+a²)=a√10
AC=√(AF²+CF²)=√(4a²+a²)=a√5
cosBCA=(CB²+AC²-AB²)/(2CB*AC)=(10a²+5a²-a²)/(2a√10*a√5)=
=14a²/(10a²√2)=7√2/10
2
AC²=AB²+BC²-2AB*ACcosABC
196=AB²+100-2*AB*10*(-1/2)
AB²+10AB-96=0
(AB)1+(AB)2=-10 U (AB)1*(AB)2=-96
(AB)1=-16 не удов усл
(АВ)2=6